An express train is moving with a velocity v1. Its driver finds another train is moving on the same track in the same direction with velocity v2. To escape collision, driver applies a retardation a on the train. The minimum time of escaping collision will be

(1) $t=\frac{{v}_{1}-{v}_{2}}{a}$

(2) ${t}_{1}=\frac{{v}_{1}^{2}-{v}_{2}^{2}}{2}$

(3) None

(4) Both

Concept Questions :-

Relative motion in 1-D
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A stone falls from a balloon that is descending at a uniform rate of 12 m/s. The displacement of the stone from the point of release after 10 sec is

(1) 490 m

(2) 510 m

(3) 610 m

(4) 725 m

Concept Questions :-

Uniformly accelerated motion
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A ball is dropped on the floor from a height of 10 m. It rebounds to a height of 2.5 m. If the ball is in contact with the floor for 0.01 sec, the average acceleration during contact is

(1) 2100 m/sec2 downwards

(2) 2100 m/sec2 upwards

(3) 1400 m/sec2

(4) 700 m/sec2

Concept Questions :-

Acceleration
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A body A is projected upwards with a velocity of 98 m/s. The second body B is projected upwards with the same initial velocity but after 4 sec. Both the bodies will meet after

(1) 6 sec

(2) 8 sec

(3) 10 sec

(4) 12 sec

Concept Questions :-

Uniformly accelerated motion
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Two bodies of different masses ma and mb are dropped from two different heights a and b. The ratio of the time taken by the two to cover these distances are

(1) a : b

(2) b : a

(3) $\sqrt{a}:\sqrt{b}$

(4) ${a}^{2}:{b}^{2}$

Concept Questions :-

Uniformly accelerated motion
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A body falls freely from rest. It covers as much distance in the last second of its motion as covered in the first three seconds. The body has fallen for a time of

(1) 3 s

(2) 5 s

(3) 7 s

(4) 9 s

Concept Questions :-

Uniformly accelerated motion
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A stone is dropped into water from a bridge 44.1 m above the water. Another stone is thrown vertically downward 1 sec later. Both strike the water simultaneously. What was the initial speed of the second stone ?

(1) 12.25 m/s

(2) 14.75 m/s

(3) 16.23 m/s

(4) 17.15 m/s

Concept Questions :-

Uniformly accelerated motion
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A body is thrown vertically upwards. If air resistance is to be taken into account, then the time during which the body rises is

(1) Equal to the time of fall

(2) Less than the time of fall

(3) Greater than the time of fall

(4) Twice the time of fall

Concept Questions :-

Uniformly accelerated motion
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A ball P is dropped vertically and another ball Q is thrown horizontally from the  same height and at the same time. If air resistance is neglected, then

(1) Ball P reaches the ground first

(2) Ball Q reaches the ground first

(3) Both reach the ground at the same time

(4) The respective masses of the two balls will decide the time

Concept Questions :-

Uniformly accelerated motion
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A body is released from a great height and falls freely towards the earth. Another body is released from the same height exactly one second later. The separation between the two bodies, two seconds after the release of the second body is

(1) 4.9 m

(2) 9.8 m

(3) 19.6 m

(4) 24.5 m

Concept Questions :-

Uniformly accelerated motion